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هو ln LX الدلة اللي هي F of X بساوي ln LX وبنستخدم ال mean value theorem وبنفس الأسلوب في داعي نحله؟ خلّينا نحله، خلّينا نحله عشان بنصور الآن سؤال سبعة الآن عندي بدأ أثبت أن ln LX أصغر من X ناقص واحد", "tokens": [3615, 1863, 13672, 1829, 31439, 44166, 441, 55, 32748, 37977, 13672, 1829, 39896, 479, 295, 1783, 4724, 3794, 995, 45865, 44166, 441, 55, 46599, 1863, 14851, 9778, 40448, 2423, 914, 2158, 20904, 46599, 1863, 36178, 16247, 3794, 1211, 37746, 8978, 11778, 45761, 1829, 8717, 5016, 43761, 22807, 16490, 1211, 11703, 1829, 8315, 8717, 5016, 43761, 12399, 16490, 1211, 11703, 1829, 8315, 8717, 5016, 43761, 6225, 8592, 7649, 44945, 9381, 13063, 6024, 48506, 8608, 33604, 6027, 8608, 3555, 27884, 6024, 48506, 18871, 16254, 47525, 10721, 5551, 12984, 3555, 2655, 14739, 44166, 441, 55, 5551, 9381, 17082, 2288, 9154, 1783, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.296428580511184, "compression_ratio": 1.6047619047619048, "no_speech_prob": 1.1324882507324219e-06, "words": 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"probability": 0.80712890625}, {"start": 471.04, "end": 471.86, "word": " LX", "probability": 0.912353515625}, {"start": 471.86, "end": 472.46, "word": " وبنستخدم", "probability": 0.87724609375}, {"start": 472.46, "end": 472.6, "word": " ال", "probability": 0.9658203125}, {"start": 472.6, "end": 472.74, "word": " mean", "probability": 0.2900390625}, {"start": 472.74, "end": 473.04, "word": " value", "probability": 0.9599609375}, {"start": 473.04, "end": 473.44, "word": " theorem", "probability": 0.904296875}, {"start": 473.44, "end": 474.54, "word": " وبنفس", "probability": 0.8372395833333334}, {"start": 474.54, "end": 475.66, "word": " الأسلوب", "probability": 0.943603515625}, {"start": 475.66, "end": 476.44, "word": " في", "probability": 0.509765625}, {"start": 476.44, "end": 476.72, "word": " داعي", "probability": 0.7843424479166666}, {"start": 476.72, "end": 477.14, "word": " نحله؟", "probability": 0.6517333984375}, {"start": 477.14, "end": 477.48, "word": " خلّينا", "probability": 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إذا ال exercise تسعة هو عبارة عن إيش يقول ليه ان ال converts of this theorem need not to be true in general", "tokens": [2304, 33599, 1829, 21542, 6027, 11933, 15730, 23758, 6024, 48506, 23758, 21542, 16254, 12984, 31439, 8608, 33604, 6027, 8315, 13672, 1829, 43242, 8315, 13672, 1829, 47525, 8315, 8717, 5016, 4117, 1829, 8978, 3224, 13672, 1829, 31439, 5380, 12174, 3215, 33599, 6055, 3794, 27884, 1975, 47341, 3615, 20292, 15844, 5380, 6055, 3794, 27884, 11933, 15730, 2423, 5380, 6055, 3794, 27884, 31439, 6225, 3555, 9640, 3660, 18871, 11933, 1829, 8592, 7251, 39648, 32239, 3224, 16472, 2423, 38874, 295, 341, 20904, 643, 406, 281, 312, 2074, 294, 2674], "avg_logprob": -0.23946220791617104, "compression_ratio": 1.7389162561576355, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1182.02, "end": 1182.36, "word": "ماشي", "probability": 0.9029947916666666}, {"start": 1182.36, "end": 1182.78, "word": " الحال", "probability": 0.847412109375}, {"start": 1182.78, "end": 1183.46, 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value للجهتين بتطلع عندي اللي أماني واضح لكن F' is bounded مدان bounded F' إذا there exist K بحيث أن F' of C أصغر سوى K لكل C إيه شمالها من ضمن ال C اللي فوق", "tokens": [28814, 15730, 9154, 11296, 8717, 47283, 3215, 2423, 8236, 2158, 24976, 7435, 3224, 2655, 9957, 39894, 9566, 1211, 3615, 43242, 1829, 13672, 1829, 5551, 2304, 7649, 1829, 4032, 46958, 5016, 44381, 479, 6, 307, 37498, 3714, 3215, 7649, 37498, 479, 6, 11933, 15730, 456, 2514, 591, 4724, 5016, 1829, 12984, 14739, 479, 6, 295, 383, 5551, 9381, 17082, 2288, 8608, 2407, 7578, 591, 5296, 28820, 383, 11933, 1829, 3224, 13412, 2304, 6027, 11296, 9154, 48812, 27842, 2423, 383, 13672, 1829, 6156, 30543], "avg_logprob": -0.266378015638834, "compression_ratio": 1.4196891191709844, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 2607.1800000000003, "end": 2607.9, "word": "إذا", "probability": 0.4979248046875}, {"start": 2607.9, "end": 2608.24, "word": " منها", "probability": 0.836669921875}, {"start": 2608.24, "end": 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"therefore I satisfy اللي هو Lipschitz condition و الله يعطيكوا العافية", "tokens": [15456, 845, 286, 19319, 13672, 1829, 31439, 441, 2600, 339, 6862, 4188, 4032, 21984, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.3439198421395343, "compression_ratio": 1.0326086956521738, "no_speech_prob": 1.6689300537109375e-05, "words": [{"start": 2656.2, "end": 2657.6, "word": "therefore", "probability": 0.62890625}, {"start": 2657.6, "end": 2659.0, "word": " I", "probability": 0.1348876953125}, {"start": 2659.0, "end": 2660.46, "word": " satisfy", "probability": 0.424560546875}, {"start": 2660.46, "end": 2661.4, "word": " اللي", "probability": 0.94970703125}, {"start": 2661.4, "end": 2661.6, "word": " هو", "probability": 0.98583984375}, {"start": 2661.6, "end": 2662.16, "word": " Lipschitz", "probability": 0.7342681884765625}, {"start": 2662.16, "end": 2663.0, "word": " condition", "probability": 0.89306640625}, {"start": 2663.0, "end": 2664.18, "word": " و", "probability": 0.472900390625}, {"start": 2664.18, "end": 2664.42, "word": " الله", "probability": 0.87060546875}, {"start": 2664.42, "end": 2665.12, "word": " يعطيكوا", "probability": 0.9412109375}, {"start": 2665.12, "end": 2665.82, "word": " العافية", "probability": 0.9650065104166666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2666.092, "duration_after_vad": 2567.606249999991}
\ No newline at end of file